104904 has 48 divisors (see below), whose sum is σ = 299520. Its totient is φ = 33120.

The previous prime is 104891. The next prime is 104911. The reversal of 104904 is 409401.

It is a super-2 number, since 2×104904² = 22009698432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

104904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2209 + ... + 2255.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2¹⁰⁴⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149760).

104904 is an abundant number, since it is smaller than the sum of its proper divisors (194616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104904 is a wasteful number, since it uses less digits than its factorization.

104904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104904 is about 323.8888698304. Note that the first 4 decimals coincide. The cubic root of 104904 is about 47.1625576851.

The spelling of 104904 in words is "one hundred four thousand, nine hundred four".